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Статья
2015

Linear conjugation problem for analytic functions in the weighted Hölder spaces


G. N. Aver’yanovG. N. Aver’yanov, A. P. SoldatovA. P. Soldatov
Русская математика
https://doi.org/10.3103/S1066369X15090066
Abstract / Full Text

We consider the classical linear conjugation problem for analytic functions on piecewise-smooth curve in the whole scale of weighted Hölder spaces and describe its solvability in dependence on a weight order.

Author information
  • Belgorod State National Research University, ul. Studencheskaya 14, Belgorod, 308007, RussiaG. N. Aver’yanov & A. P. Soldatov
References
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  2. Gakhov, F. D., Boundary-Value Problems (Fizmatgiz, Moscow, 1963) [in Russian].
  3. Soldatov, A. P., One-Dimensional Singular Operators and Boundary-Value Problems of Function Theory (Vysshaya Shkola, Moscow, 1991) [in Russian].
  4. Soldatov, A. P., “A Generalized Integral of the Cauchy Type,” Soobshch. Akad. Nauk Gruz. 144, No. 3, 349–351 (1991).
  5. Soldatov, A. P., “A Boundary-Value Problem of Linear Conjugation of Function Theory,” Izv. Akad. Nauk SSSR. Ser. Mat. 43, No. 1, 184–202 (1979).